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Finding the Fourth Proportional to 13,198.93, 19,800.11 and 4,311.15

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Solution

The fourth proportional to 13,198.93, 19,800.11 and 4,311.15 is: 6,467.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198.93 : 19,800.11 = 4,311.15 : x
  2. Step 2: Convert to fraction form
    13,198.93/19,800.11 = 4,311.15/x
  3. Step 3: Cross multiply
    13,198.93x = 19,800.11 × 4,311.15
  4. Step 4: Simplify right side
    13,198.93x = 85,361,244.23
  5. Step 5: Solve for x
    x = 85,361,244.23/13,198.93
  6. Step 6: Final answer
    x = 6,467.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.